# Hypotenuse word problem

The two legs of a right triangle are the same length. The hypotenuse is 4 meters long.

Find the length of the legs. Express your answer in simplified radical form, or as a decimal rounded to four places.

Solution

Let x be the length of one leg and let x be the length of the other leg.

x2 + x2 = 42

2x2 = 16

Divide both sides by 2

x2 = 8

x = √(8)

x = √(4 × 2)

x = √(4) × √(2)

x = 2 × √(2)

or

x = 2 × 1.414213

x = 2.828426

x = 2.8284

## Recent Articles

1. ### Heart of Algebra : Key questions for the SAT math

Sep 01, 18 04:07 PM

These heart of algebra questions will help you prepare to take the math portion of the SAT

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

## Recent Lessons

1. ### Heart of Algebra : Key questions for the SAT math

Sep 01, 18 04:07 PM

These heart of algebra questions will help you prepare to take the math portion of the SAT

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.